Linear regression & correlation worksheet with answers

Free printable Linear regression & correlation worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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Name: ____________________   Date: ____________

1.Easy
xy169319101221232514728155xy2025100120140160

The table gives 5 paired observations of x = temperature in °C and y = ice creams sold. Use the least-squares line ŷ = a + b·x. Find the intercept a.

n = 5
a =
2.Easy
xy25145566486910851288xy5106080

The table gives 6 paired observations of x = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. Find the slope b.

n = 6
b =
3.Medium
xy356561777982119813104xy5106080100

The table gives 6 paired observations of x = hours studied and y = exam score. Find Pearson's correlation coefficient r.

n = 6
r =
4.Medium
xy355461566680786xy46607080

The table gives 5 paired observations of x = hours studied and y = exam score. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 5Σx = 25Σy = 348Σx² = 135Σy² = 24898Σxy = 1821
r =
5.Hard
xy147016751894201082211924129xy15202580100120ŷ = 112

The table gives 6 paired observations of x = temperature in °C and y = ice creams sold. Use the least-squares line ŷ = a + b·x. For which value x does the line predict ŷ = 112?

n = 6ŷ = 112
x =
6.Hard
xy126227324422520618xy2462025x = 1.5

The table gives 6 paired observations of x = car age in years and y = price in k€. Use the least-squares line ŷ = a + b·x. A new observation (1.5, 23) is made. Find its residual e = y − ŷ.

n = 6(1.5, 23)
e =

Answer key

  1. 1. a = −0.8667
  2. 2. b = 4
  3. 3. r = 0.9894
  4. 4. r = 0.9843
  5. 5. x = 21.04
  6. 6. e = −3.433

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